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Georgia [21]
3 years ago
15

What is the area of the rhombus shown below? AC=17 BD=15 AB=11.2 Answers: A. 255 square units B. 190.4 square units C. 16 square

units D. 127.5 square units

Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

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Nina [5.8K]

Use order of operations, or PEMDAS which stands for Parenthesis, Exponent, Division, Addition, and Subtraction.

Do those operations in that order. Can you try?

What will be the first thing you do here, according to PEMDAS?

5 0
2 years ago
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
MAXImum [283]

There are 15 years was his money invested.

<h3>What is simple interset?</h3>

Simple Interest is an easy method of calculating the interest for a loan/principal amount.

Given

Frank invests $1,000 in simple interest investment account that pays 8% a year.

After a number of years, he withdraws his balance of $2,200.

The number of years was his money inversted is;

\rm I= P\times r \times t

Where p is the principal amount, r is the rate of interest, I is the amount and  t is the time.

Substitute all the values in the formula;

\rm I= P\times r \times t\\\\2200-1000= 1000 \times .08 \times t\\\\1200 = 80t\\\\t = \dfrac{1200}{80}\\\\t=15

Hence, in the 15 years was his money invested.

To know more about investing click the link given below.

brainly.com/question/26677076

7 0
2 years ago
Question 4
laiz [17]

Answer:

I just solved a question similar to this

Let's understand it

It's saying she got 660 or it is that her weekly pay is 660

So now let weekly pay which is P be 660

Hence the formulae is given

It's 480 + 18 (h – 30) = 660

Now its just boring calculation

If you mark it brainleist I will do the calculation for you wink wink

Never mind

480 + 18 (h – 30) = 660

18 (h – 30) = 660-480

18 (h – 30) = 120

(h – 30) = 120/18

(h – 30) = 6.6

h = 6.6+30

h= 36.6

So dam the Judy lady worked for 36.6 hours

5 0
2 years ago
.. Discuss the nature of the root of equation x2 + 2x + 3 = 0​
Mariana [72]

Answer:

  • No real roots

Step-by-step explanation:

Given equation:

  • x² + 2x + 3 = 0

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

~

  • Two Distinct real roots, if b² - 4ac > 0
  • Two equal real roots, if b² - 4ac = 0
  • No real roots, if b² - 4ac < 0

\\ \: \: \dashrightarrow \: \: \: \sf  {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0  \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{  -8 > 0}}}}} \\  \\

The discriminant is smaller than 0.

  • <u>Hence, Equation has no </u><u>real</u><u> roots (no solution)</u>
6 0
1 year ago
8 cleaners can clean an office in 3 hours,if the block needs to be cleaned in 2 hours,how many cleaners will be needed?
romanna [79]

Answer:

12 cleaners

Step-by-step explanation:

8 cleaner can clean in 3 hours = 1 office

1 cleaner can clean in 3 hours = \frac{1}{8}  part of job

1 cleaner can clean in 1 hours = \frac{1}{3 \times 8}  part of job

Let the number of cleaner required to finish the job in 2 hours = x

hence

x cleaner can clean in 1 hours = \frac{1 \times x }{24}  part of job

x cleaner can clean in 2 hours = \frac{2 \times x }{24}  part of job

Hence

\frac{2 \times x }{24}=1

\frac{2x}{24}=1

2x=24

x=12

Hence we need 12 men to complete the same job in 2 hours

4 0
3 years ago
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